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Finding the Fourth Proportional to 294,541.92, 406,484.10 and 173,754

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Solution

The fourth proportional to 294,541.92, 406,484.10 and 173,754 is: 239,790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,541.92 : 406,484.10 = 173,754 : x
  2. Step 2: Convert to fraction form
    294,541.92/406,484.10 = 173,754/x
  3. Step 3: Cross multiply
    294,541.92x = 406,484.10 × 173,754
  4. Step 4: Simplify right side
    294,541.92x = 70,628,238,311.40
  5. Step 5: Solve for x
    x = 70,628,238,311.40/294,541.92
  6. Step 6: Final answer
    x = 239,790.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.